46478201280 has 1344 divisors, whose sum is σ = 200670566400. Its totient is φ = 9060581376.

The previous prime is 46478201269. The next prime is 46478201281. The reversal of 46478201280 is 8210287464.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46478201281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2020791349 + ... + 2020791371.

Almost surely, 2^46478201280 is an apocalyptic number.

46478201280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46478201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100335283200).

46478201280 is an abundant number, since it is smaller than the sum of its proper divisors (154192365120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46478201280 is a wasteful number, since it uses less digits than its factorization.

46478201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 46478201280 in words is "forty-six billion, four hundred seventy-eight million, two hundred one thousand, two hundred eighty".